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3 years ago

What is the measure of g

Mathematics

2 answers:

kramer3 years ago

8 0

Answer: 28 (apex)

Step-by-step explanation:

vagabundo [1.1K]3 years ago

3 0

Hello there!

If you look at the picture of the triangle, you would see that line EF and line FG have same length of 6.
A triangle that has two sides of equal length is called isosceles triangle.
So your triangle is an isosceles triangle!

An isosceles triangle has two angles on facing each other are same.
For example, the ∠E is 28°. Then what is the angle that is on the opposite side of ∠E? It is ∠G.
∠G would be 28°.

So your answer is C. 28°

In some questions, they might ask you for the measure of ∠F.
The sum of all three angles of a triangle must equal to 180°.
Since you know the two of the angles, ∠E and ∠G, you can find ∠F easily.
∠E + ∠F + ∠G = 180°
28° + ∠F + 28° = 180°
∠F + 56° = 180°
∠F = 124°

Hope this helped!!! :)

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Joe is putting up a rectangular fence in his back yard to contain his dog, murphy . If joe bought 98 feet of fencing and one dim

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Answer:

29 ft.

Step-by-step explanation:

Since one dimension of the yard is 20 ft., we multiply that by 2 (20 × 2 = 40) to get both sides of the yard with that dimension. Then, we subtract 98 - 40 = 58. 58 ft. is the total of BOTH of the other two sides, so we divide that by 2 (58 ÷ 2 = 29) to get the final answer.

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3 years ago

(7 x 10^-6)(7 x 10^-6> into scientific notation. (Show your work if its possible)

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Step-by-step explanation:

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3 years ago

A rectangular public park has an area of 3,600 square feet. It is surrounded on three sides by a chain link fence. If the entire

Dafna11 [192]

Answer:

If length of the field is 30 ft, then width is 120 ft.

If the length of the field is 60 ft, then width is 60 ft.

Step-by-step explanation:

Let us assume the length of the rectangular park = L ft

Let us assume the breadth of the rectangular park = B ft

Now, AREA of the given park = L x B

⇒ L x B = 3,600 sq ft ... (1)

Also, the perimeter of three sides = 180 ft

⇒ 2 L + B = 180 ..... (2)

Now, from (1) and (2), we get:

L x B = 3,600

2 L + B = 180 ⇒ B = 180 - 2 L

Substitute this in(1) , we get:

L x B = 3,600 ⇒ L x (180 - 2 L) = 3600

$\implies 180 L - 2L^2 = 3600\\\implies L^2 -90L + 1800 = 0\\\implies (L-30)(L-60)= 0$

⇒ L = 30 or L = 60

So, if L = 30 ft , then B = 180 - 2L = 180 - 60 = 120 ft

So, if L = 60 ft , then B = 180 - 2L = 180 - 120 = 60 ft

So, if length of the field is 30 ft, then width is 120 ft.

And if the length of the field is 60 ft, then width is 60 ft.

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3 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

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3 years ago